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2020

Effective Hamiltonian Dynamics via the Maupertuis Principle

Schwetlick, H., Sutton, D. & Zimmer, J., 1 Apr 2020, In : Discrete and Continuous Dynamical Systems Series S. 13, 4, p. 1395-1410

Research output: Contribution to journalArticle

Open Access

From weakly interacting particles to a regularised Dean–Kawasaki model

Cornalba, F., Shardlow, T. & Zimmer, J., 10 Jan 2020, In : Nonlinearity. 33, 2

Research output: Contribution to journalArticle

2019

A regularised Dean-Kawasaki model: derivation and analysis

Cornalba, F., Shardlow, T. & Zimmer, J., 9 Apr 2019, In : Siam Journal on Mathematical Analysis. 51, 2, p. 1137-1187 51 p.

Research output: Contribution to journalArticle

Open Access
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2 Citations (Scopus)
32 Downloads (Pure)

Harnessing fluctuations to discover dissipative evolution equations

Li, X., Dirr, N., Embacher, P., Zimmer, J. & Reina, C., 1 Oct 2019, In : Journal of the Mechanics and Physics of Solids. 131, p. 240-251 12 p.

Research output: Contribution to journalArticle

Minimizing movements for oscillating energies: The critical regime

Ansini, N., Braides, A. & Zimmer, J., 1 Jun 2019, In : Proceedings of the Royal Society of Edinburgh Section A: Mathematics. 149, 3, p. 719-737 19 p.

Research output: Contribution to journalArticle

Open Access
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1 Citation (Scopus)
8 Downloads (Pure)

Orthogonality of fluxes in general nonlinear reaction networks

Renger, M. & Zimmer, J., 7 Dec 2019, (Accepted/In press) In : Discrete and Continuous Dynamical Systems Series S.

Research output: Contribution to journalArticle

Open Access
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4 Downloads (Pure)
2018

Canonical Structure and Orthogonality of Forces and Currents in Irreversible Markov Chains

Kaiser, M., Jack, R. & Zimmer, J., 1 Mar 2018, In : Journal of Statistical Physics. 170, 6, p. 1019-1050 32 p.

Research output: Contribution to journalArticle

Open Access
4 Citations (Scopus)

Computing diffusivities from particle models out of equilibrium

Embacher, P., Dirr, N., Zimmer, J. & Reina, C., 25 Apr 2018, In : Proceedings of the Royal Society A: Mathematical Physical and Engineering Sciences. 474, 2212, 20170694.

Research output: Contribution to journalArticle

Open Access
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3 Citations (Scopus)
7 Downloads (Pure)

The semi-infinite asymmetric exclusion process: Large deviations via matrix products

Gonzalez Duhart Muñoz De Cote, H., Morters, P. & Zimmer, J., 1 Apr 2018, In : Potential Analysis. 48, 3, p. 301-323

Research output: Contribution to journalArticle

Open Access
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1 Citation (Scopus)
27 Downloads (Pure)

Travelling wavefronts in nonlocal diffusion equations with nonlocal delay effects

Guo, S. & Zimmer, J., 1 Apr 2018, In : Bulletin of the Malaysian Mathematical Sciences Society. 41, 2, p. 919-943 25 p.

Research output: Contribution to journalArticle

Open Access
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1 Citation (Scopus)
39 Downloads (Pure)
2017

Acceleration of convergence to equilibrium in Markov chains by breaking detailed balance

Zimmer, J., Jack, R. & Kaiser, M., 1 Jul 2017, In : Journal of Statistical Physics. 168, 2

Research output: Contribution to journalArticle

Open Access
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10 Citations (Scopus)
47 Downloads (Pure)

A revisited Johnson-Mehl-Avrami-Kolmogorov model and the evolution of grain-size distributions in steel

Zimmer, J., Patacchini, F., Hömberg, D. & Sakamoto, K., 1 Aug 2017, In : IMA Journal of Applied Mathematics. 82, 4, p. 763-780

Research output: Contribution to journalArticle

Open Access
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39 Downloads (Pure)

Hydrodynamic limit of condensing two-species zero range processes with sub-critical initial profiles

Zimmer, J., Dirr, N. & Stamatakis, M., Aug 2017, In : Journal of Statistical Physics. 168, 4, p. 794–825

Research output: Contribution to journalArticle

Open Access

Symmetries and Geometrical Properties of Dynamical Fluctuations in Molecular Dynamics

Jack, R., Kaiser, M. & Zimmer, J., 22 Oct 2017, In : Entropy. 19, 10, p. 562 - 562 1 p.

Research output: Contribution to journalArticle

Open Access
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2 Citations (Scopus)
39 Downloads (Pure)

Travelling waves for a Frenkel-Kontorova chain

Buffoni, B., Zimmer, J. & Schwetlick, H., 15 Aug 2017, In : Journal of Differential Equations. 263, 4, p. 2317-2342 26 p.

Research output: Contribution to journalArticle

Open Access
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2 Citations (Scopus)
98 Downloads (Pure)
2016

Entropic and gradient flow formulations for nonlinear diffusion

Dirr, N., Stamatakis, M. & Zimmer, J., 1 Aug 2016, In : Journal of Mathematical Physics. 57, 8, 081505.

Research output: Contribution to journalArticle

Open Access
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5 Citations (Scopus)
229 Downloads (Pure)
2015

Entropy production and the geometry of dissipative evolution equations

Zimmer, J. & Reina, C., 13 Nov 2015, In : Physical Review E (PRE). 92, 5, 052117.

Research output: Contribution to journalArticle

Open Access
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6 Citations (Scopus)
182 Downloads (Pure)

On the Γ-limit for a non-uniformly bounded sequence of two-phase metric functionals

Schwetlick, H., Sutton, D. C. & Zimmer, J., Jan 2015, In : Discrete and Continuous Dynamical Systems - Series A. 35, 1, p. 411-426 16 p.

Research output: Contribution to journalArticle

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85 Downloads (Pure)

Stability of travelling wavefronts in discrete reaction-diffusion equations with nonlocal delay effects

Guo, S. & Zimmer, J., 28 Feb 2015, In : Nonlinearity. 28, 2, p. 463-492 30 p.

Research output: Contribution to journalArticle

15 Citations (Scopus)

The Finsler Metric Obtained as the Γ-limit of a Generalised Manhattan Metric

Schwetlick, H., Sutton, D. C. & Zimmer, J., 1 Jan 2015, In : Journal of Convex Analysis. 22, 1, p. 19-36 18 p.

Research output: Contribution to journalArticle

2014

Conservative-dissipative approximation schemes for a generalized Kramers equation

Duong, M. H., Peletier, M. A. & Zimmer, J., 15 Nov 2014, In : Mathematical Methods in the Applied Sciences. 37, 16, p. 2517-2540 24 p.

Research output: Contribution to journalArticle

File
10 Citations (Scopus)
106 Downloads (Pure)

Geometrical interpretation of fluctuating hydrodynamics in diffusive systems

Jack, R. L. & Zimmer, J., 5 Dec 2014, In : Journal of Physics A: Mathematical and Theoretical. 47, 48, 485001.

Research output: Contribution to journalArticle

File
9 Citations (Scopus)
99 Downloads (Pure)

Travelling lattice waves in a toy model of Lennard-Jones interaction

Venney, C. R. & Zimmer, J., 1 Mar 2014, In : Quarterly of Applied Mathematics. 72, 1, p. 65-84 20 p.

Research output: Contribution to journalArticle

Open Access
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1 Citation (Scopus)
112 Downloads (Pure)
2013

Can equations of equilibrium predict all physical equilibria? A case study from Field Dislocation Mechanics

Das, A., Acharya, A., Zimmer, J. & Matthies, K., Nov 2013, In : Mathematics and Mechanics of Solids. 18, 8, p. 803-822 20 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

GENERIC formalism of a Vlasov-Fokker-Planck equation and connection to large-deviation principles

Duong, M. H., Peletier, M. A. & Zimmer, J., Nov 2013, In : Nonlinearity. 26, 11, p. 2951-2971 21 p.

Research output: Contribution to journalArticle

Open Access
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32 Citations (Scopus)
115 Downloads (Pure)

Large deviations and gradient flows

Adams, S., Dirr, N., Peletier, M. & Zimmer, J., 28 Dec 2013, In : Philosophical Transactions of the Royal Society A - Mathematical Physical and Engineering Sciences. 371, 2005, 0341.

Research output: Contribution to journalArticle

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21 Citations (Scopus)
110 Downloads (Pure)

Subsonic phase transition waves in bistable lattice models with small spinodal region

Herrmann, M., Matthies, K., Schwetlick, H. & Zimmer, J., 3 Sep 2013, In : SIAM Journal on Mathematical Analysis (SIMA). 45, 5, p. 2625-2645 21 p.

Research output: Contribution to journalArticle

Open Access
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6 Citations (Scopus)
125 Downloads (Pure)
2012

Kinetic relations for a lattice model of phase transitions

Schwetlick, H. & Zimmer, J., 1 Nov 2012, In : Archive for Rational Mechanics and Analysis. 206, 2, p. 707-724 18 p.

Research output: Contribution to journalArticle

Open Access
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5 Citations (Scopus)
119 Downloads (Pure)

Nonexistence of slow heteroclinic travelling waves for a bistable Hamiltonian lattice model

Schwetlick, H., Sutton, D. C. & Zimmer, J., Dec 2012, In : Journal of Nonlinear Science. 22, 6, p. 917-934 18 p.

Research output: Contribution to journalArticle

Open Access
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1 Citation (Scopus)
111 Downloads (Pure)

On selection criteria for problems with moving inhomogeneities

Herrmann, M., Schwetlick, H. & Zimmer, J., 1 Jan 2012, In : Continuum Mechanics and Thermodynamics. 24, 1, p. 21-36 16 p.

Research output: Contribution to journalArticle

File
2 Citations (Scopus)
133 Downloads (Pure)

Rate-independent processes with linear growth energies and time-dependent boundary conditions

Kruzik, M. & Zimmer, J., Jun 2012, In : Discrete and Continuous Dynamical Systems Series S. 5, 3, p. 591-604 14 p.

Research output: Contribution to journalArticle

File
1 Citation (Scopus)
97 Downloads (Pure)

Upscaling from particle models to entropic gradient flows

Dirr, N., Laschos, V. & Zimmer, J., 2012, In : Journal of Mathematical Physics. 53, 6, 063704.

Research output: Contribution to journalArticle

Open Access
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9 Citations (Scopus)
118 Downloads (Pure)
2011

A model of shape memory alloys taking into account plasticity

Kruizik, M. & Zimmer, J., Feb 2011, In : IMA Journal of Applied Mathematics. 76, 1, p. 193-216 24 p.

Research output: Contribution to journalArticle

9 Citations (Scopus)

Existence of subsonic heteroclinic waves for the Frenkel-Kontorova model with piecewise quadratic on-site potential

Kreiner, C. F. & Zimmer, J., Apr 2011, In : Nonlinearity. 24, 4, p. 1137-1163 27 p.

Research output: Contribution to journalArticle

Open Access
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4 Citations (Scopus)
116 Downloads (Pure)

From a large-deviations principle to the Wasserstein gradient flow: a new micro-macro passage

Adams, S., Dirr, N., Peletier, M. & Zimmer, J., 1 Nov 2011, In : Communications in Mathematical Physics. 307, 3, p. 791-815 25 p.

Research output: Contribution to journalArticle

Open Access
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41 Citations (Scopus)
114 Downloads (Pure)

Mathematical concepts for the micromechanical modelling of dislocation dynamics with a phase-field approach

Kundin, J., Emmerich, H. & Zimmer, J., Jan 2011, In : Philosophical Magazine. 91, 1, p. 97-121 25 p.

Research output: Contribution to journalArticle

Open Access
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9 Citations (Scopus)
120 Downloads (Pure)
Open Access
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2 Citations (Scopus)
111 Downloads (Pure)
2010

A variational approach to the Hamiltonian boundary value problem: Existence and approximation

Zimmer, J. & Schwetlick, H., Mar 2010, In : Oberwolfach Reports. 7, 1, p. 792-794 3 p.

Research output: Contribution to journalArticle

File
68 Downloads (Pure)

Evolutionary problems in non-reflexive spaces

Kruzik, M. & Zimmer, J., Jan 2010, In : Esaim-Control Optimisation and Calculus of Variations. 16, 1, p. 1-22 22 p.

Research output: Contribution to journalArticle

File
4 Citations (Scopus)
110 Downloads (Pure)

Three-dimensional model of martensitic transformations with elasto-plastic effects

Kundin, J., Emmerich, H. & Zimmer, J., Apr 2010, In : Philosophical Magazine. 90, 11, p. 1495-1510 16 p.

Research output: Contribution to journalArticle

Open Access
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15 Citations (Scopus)
110 Downloads (Pure)

Travelling wave solutions for a quasilinear model of field dislocation mechanics

Acharya, A., Matthies, K. & Zimmer, J., Dec 2010, In : Journal of the Mechanics and Physics of Solids. 58, 12, p. 2043-2053 11 p.

Research output: Contribution to journalArticle

File
11 Citations (Scopus)
114 Downloads (Pure)
2009

Asymptotics of resonances in a thermoelastic model with light local mass perturbations

Babych, N. & Zimmer, J., Jun 2009, In : Quarterly of Applied Mathematics. 67, 2, p. 311-326 16 p.

Research output: Contribution to journalArticle

Open Access
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128 Downloads (Pure)
File
8 Citations (Scopus)
72 Downloads (Pure)
20 Citations (Scopus)
116 Downloads (Pure)

Gradient flows in asymmetric metric spaces

Chenchiah, I. V., Rieger, M. O. & Zimmer, J., 2009, In : Nonlinear Analysis: Theory Methods & Applications. 71, 11, p. 5820-5834 15 p.

Research output: Contribution to journalArticle

Open Access
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6 Citations (Scopus)
113 Downloads (Pure)

Heteroclinic travelling waves for the lattice sine-Gordon equation with linear pair interaction

Kreiner, C. F. & Zimmer, J., Nov 2009, In : Discrete and Continuous Dynamical Systems. 25, 3, p. 915-931 17 p.

Research output: Contribution to journalArticle

File
5 Citations (Scopus)
95 Downloads (Pure)

Modeling transformation paths of multiphase materials: The triple point of zirconia

Dondl, P. W., Hormann, K. & Zimmer, J., Mar 2009, In : Physical Review B. 79, 10, 104114.

Research output: Contribution to journalArticle

File
1 Citation (Scopus)
112 Downloads (Pure)

On an extension of the space of bounded deformations

Kruzik, M. & Zimmer, J., 2009, In : Zeitschrift für Analysis und ihre Anwendungen. 31, 1, p. 75-91 17 p.

Research output: Contribution to journalArticle

Travelling wave solutions for the discrete sine-Gordon equation with nonlinear pair interaction

Kreiner, C. F. & Zimmer, J., 2009, In : Nonlinear Analysis: Theory Methods & Applications. 70, 9, p. 3146-3158 13 p.

Research output: Contribution to journalArticle

Open Access
File
9 Citations (Scopus)
117 Downloads (Pure)